
12
Bayesian Analysis of Structural Equation Models Using
Parameter Expansion
Séverine Deme yer, Jean-Louis Foulley, Nicolas Fischer, and Gilbert Saporta
CONTENTS
12.1 Introduction . . . . . .. . .. . . . . .. . .. . . . . .. . .. . . . . .. . . .. . .. . . . . .. . .. . . . . .. . .. . . .. .. . . . 135
12.1.1 From Latent Variables to Structural Equation Models (SEM) . .. . . .. 13 5
12.1.2 Motivation of a Bayesian Approach to SEM . . . .. . .. . .. . .. . .. . .. . .. . . . 136
12.1.3 Motivation of a Parameter Expansion (PX) Framework . . .. . . .. . .. . .. 137
12.2 Specification of SEM for Mixed Observed Variables . . . .. . .. . .. . .. . .. . .